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aniked [119]
3 years ago
6

Write the equation of a line parallel to the given line that passes through the point (- 5, 14) . y = 3/5 * x - 21.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0

Answer:

y=3/5*x+17

Step-by-step explanation:

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The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?
bixtya [17]

\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\
\\
\text{let the coordinate of th point C be (x, y), such that}\\
\\
AC:CB=3:7\\
\\
\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\
\text{where, }A(x_1,y_1), \ B(x_2,y_2)\text{ and satisfy the ratio, }AP:PB=m:n, \text{ then}

P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\
\\
\text{So using this formula, we get for the given problem}\\
\\
C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\
\\
\Rightarrow C=\left ( \frac{-6-35}{10}, \ \frac{-18-7}{10} \right )\\
\\
\Rightarrow C=\left ( \frac{-41}{10}, \ \frac{-25}{10} \right )\\
\\
\Rightarrow C=\left ( -4.1, \ -2.5 \right )

Coordinates of the point C is: (-4.1, -2.5)

6 0
3 years ago
Isolate for y: 3y-yz=2z
Nataly_w [17]
First take out the common factor
y(3-z)=2z

Then divide both side by 3-z

y=2z/3-z

Done

7 0
3 years ago
Given the table of data, determine the function that would most appropriately model the data.
erica [24]
We have that the data have a high point at the start (4). Then, it drops to a lowest point (3)  and then it increases again. Hence, an exponential fit is a bad idea; exponential functions are always increasing. The same applies to square root functions, they are always decreasing or increasing and they do not have up and downs.
A quadratic function is the most appropriate function to model the data. While it is true that also cubic functions can act like this, the simplest choice is quadratic functions; they have a lowest dip and then they increase on either side of the dip, just like the data.
The correct answer is d.
6 0
3 years ago
Read 2 more answers
PLEASE HELP<br><br>The ratio of the angle measures in a quadrilateral is
8090 [49]

Answer:

Step-by-step explanation:

The angles of a quadrilateral are in ratio 1 : 2 : 3 : 4.

7 0
3 years ago
In triangle PQR, Line QS and line SR are angle bisectors to angle P (74 degrees). How many Degrees are in the angle QSR.
AlexFokin [52]

we know that

<u>in the triangle PQR</u>

m∠PQR+m∠QPR+m∠QRP=180°------> the sum of the internal angles of a triangle is equal to 180 degrees

(m∠PQR+m∠QRP)+74°=180°-------> (m∠PQR+m∠QRP)=106°

we know that

If QS and SR are angle bisectors

then

<u>In the triangle QSR</u>

m∠SQR+m∠QSR+m∠QRS=180°-------> equation 1

and

(m∠SQR+m∠QRS)=106°/2--------> (m∠SQR+m∠QRS)=53°

substitute the value of (m∠SQR+m∠QRS)=53° in the equation 1

53°+m∠QSR=180°

m∠QSR=180°-53°-------->m∠QSR= 27°

therefore

<u>the answer is</u>

The measure of angle QSR is  27 degrees

4 0
4 years ago
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